Solve 25/4-6/10=

$$\frac { 25 } { 4 } - \frac { 6 } { 10 } =$$

Evaluate

$$\frac{113}{20}=5.65$$

Solution Steps

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{25}{4}-\frac{3}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{25}{4} and \frac{3}{5} to fractions with denominator 20.

$$\frac{125}{20}-\frac{12}{20}$$

Since \frac{125}{20} and \frac{12}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-12}{20}$$

Subtract 12 from 125 to get 113.

$$\frac{113}{20}$$

Factor

$$\frac{113}{2 ^ {2} \cdot 5} = 5\frac{13}{20} = 5.65$$